Hybrid solitary wave solutions of the Camassa–Holm equation-Reference-Cited by-同舟云学术

Hybrid solitary wave solutions of the Camassa–Holm equation

Published:2022-10-10 Issue:0 Volume:0 Page:
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Omanda Hugues M.¹²,Djeumen Tchaho Clovis T.¹³,Belobo Belobo Didier¹⁴⁵^ORCID

Affiliation:

1. African Centre for Advanced Studies , P.O. Box 4477 , Yaounde , Cameroon

2. Laboratoire Pluridisciplinaire des Sciences , Ecole Normale Supérieure , P.O. Box 17009 , Libreville , Gabon

3. Lycée Technique Fulbert Bongotha , P.O. Box 15 , Moanda , Gabon

4. Department of Mathematics and Physical Sciences , National Advanced School of Engineering, University of Yaounde I , P.O. Box 8390 , Yaounde , Cameroon

5. Laboratory of Biophysics, Department of Physics, Faculty of Science , University of Yaounde I , P.O. Box 812 , Yaounde , Cameroon

Abstract

Abstract The Camassa–Holm equation governs the dynamics of shallow water waves or in its reduced form models nonlinear dispersive waves in hyperelastic rods. By using the straightforward Bogning-Djeumen Tchaho-Kofané method, explicit expressions of many solitary wave solutions with different profiles not previously derived in the literature are constructed and classified. Geometric characterizations of the solutions in terms of three new mappings are presented. Intensive numerical simulations carried confirm the stability of the solutions even with relatively high critical velocities and reveal that solitary waves with large widths are more stable than the ones with small widths.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2021-0340/pdf

Reference47 articles.

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